122101220112000 has 256 divisors, whose sum is σ = 415705160033280. Its totient is φ = 31680316108800.

The previous prime is 122101220111999. The next prime is 122101220112031. The reversal of 122101220112000 is 211022101221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32599344 + ... + 36151343.

It is an arithmetic number, because the mean of its divisors is an integer number (1623848281380).

Almost surely, 2^{122101220112000} is an apocalyptic number.

122101220112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101220112000 is an abundant number, since it is smaller than the sum of its proper divisors (293603939921280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122101220112000 is an equidigital number, since it uses as much as digits as its factorization.

122101220112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68750756 (or 68750734 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122101220112000 its reverse (211022101221), we get a palindrome (122312242213221).

The spelling of 122101220112000 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred twenty million, one hundred twelve thousand".